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Finding the Fourth Proportional to 524.21, 786.31 and 158.99

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Solution

The fourth proportional to 524.21, 786.31 and 158.99 is: 238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.21 : 786.31 = 158.99 : x
  2. Step 2: Convert to fraction form
    524.21/786.31 = 158.99/x
  3. Step 3: Cross multiply
    524.21x = 786.31 × 158.99
  4. Step 4: Simplify right side
    524.21x = 125,019.29
  5. Step 5: Solve for x
    x = 125,019.29/524.21
  6. Step 6: Final answer
    x = 238.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.