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Finding the Fourth Proportional to 524.56, 787.20 and 236.08

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Solution

The fourth proportional to 524.56, 787.20 and 236.08 is: 354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 787.20 = 236.08 : x
  2. Step 2: Convert to fraction form
    524.56/787.20 = 236.08/x
  3. Step 3: Cross multiply
    524.56x = 787.20 × 236.08
  4. Step 4: Simplify right side
    524.56x = 185,842.18
  5. Step 5: Solve for x
    x = 185,842.18/524.56
  6. Step 6: Final answer
    x = 354.28

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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.