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Finding the Fourth Proportional to 410.15, 562.82 and 373.02

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Solution

The fourth proportional to 410.15, 562.82 and 373.02 is: 511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.15 : 562.82 = 373.02 : x
  2. Step 2: Convert to fraction form
    410.15/562.82 = 373.02/x
  3. Step 3: Cross multiply
    410.15x = 562.82 × 373.02
  4. Step 4: Simplify right side
    410.15x = 209,941.25
  5. Step 5: Solve for x
    x = 209,941.25/410.15
  6. Step 6: Final answer
    x = 511.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.