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Finding the Fourth Proportional to 421.17, 580.13 and 354.70

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Solution

The fourth proportional to 421.17, 580.13 and 354.70 is: 488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.17 : 580.13 = 354.70 : x
  2. Step 2: Convert to fraction form
    421.17/580.13 = 354.70/x
  3. Step 3: Cross multiply
    421.17x = 580.13 × 354.70
  4. Step 4: Simplify right side
    421.17x = 205,772.11
  5. Step 5: Solve for x
    x = 205,772.11/421.17
  6. Step 6: Final answer
    x = 488.57

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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.