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Finding the Fourth Proportional to 524.64, 786.90 and 178

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Solution

The fourth proportional to 524.64, 786.90 and 178 is: 266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.64 : 786.90 = 178 : x
  2. Step 2: Convert to fraction form
    524.64/786.90 = 178/x
  3. Step 3: Cross multiply
    524.64x = 786.90 × 178
  4. Step 4: Simplify right side
    524.64x = 140,068.20
  5. Step 5: Solve for x
    x = 140,068.20/524.64
  6. Step 6: Final answer
    x = 266.98

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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.