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Finding the Fourth Proportional to 524.32, 786.30 and 235.24

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Solution

The fourth proportional to 524.32, 786.30 and 235.24 is: 352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.32 : 786.30 = 235.24 : x
  2. Step 2: Convert to fraction form
    524.32/786.30 = 235.24/x
  3. Step 3: Cross multiply
    524.32x = 786.30 × 235.24
  4. Step 4: Simplify right side
    524.32x = 184,969.21
  5. Step 5: Solve for x
    x = 184,969.21/524.32
  6. Step 6: Final answer
    x = 352.78

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Double scale
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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.