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Finding the Fourth Proportional to 357.92, 534.40 and 354.07

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Solution

The fourth proportional to 357.92, 534.40 and 354.07 is: 528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.92 : 534.40 = 354.07 : x
  2. Step 2: Convert to fraction form
    357.92/534.40 = 354.07/x
  3. Step 3: Cross multiply
    357.92x = 534.40 × 354.07
  4. Step 4: Simplify right side
    357.92x = 189,214.79
  5. Step 5: Solve for x
    x = 189,214.79/357.92
  6. Step 6: Final answer
    x = 528.65

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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.