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Finding the Fourth Proportional to 412.79, 616.22 and 358.11

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Solution

The fourth proportional to 412.79, 616.22 and 358.11 is: 534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.79 : 616.22 = 358.11 : x
  2. Step 2: Convert to fraction form
    412.79/616.22 = 358.11/x
  3. Step 3: Cross multiply
    412.79x = 616.22 × 358.11
  4. Step 4: Simplify right side
    412.79x = 220,672.75
  5. Step 5: Solve for x
    x = 220,672.75/412.79
  6. Step 6: Final answer
    x = 534.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.