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Finding the Fourth Proportional to 552.15, 761.52 and 342.18

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Solution

The fourth proportional to 552.15, 761.52 and 342.18 is: 471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.15 : 761.52 = 342.18 : x
  2. Step 2: Convert to fraction form
    552.15/761.52 = 342.18/x
  3. Step 3: Cross multiply
    552.15x = 761.52 × 342.18
  4. Step 4: Simplify right side
    552.15x = 260,576.91
  5. Step 5: Solve for x
    x = 260,576.91/552.15
  6. Step 6: Final answer
    x = 471.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.