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Finding the Fourth Proportional to 410.39, 566.00 and 270.53

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Solution

The fourth proportional to 410.39, 566.00 and 270.53 is: 373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.39 : 566.00 = 270.53 : x
  2. Step 2: Convert to fraction form
    410.39/566.00 = 270.53/x
  3. Step 3: Cross multiply
    410.39x = 566.00 × 270.53
  4. Step 4: Simplify right side
    410.39x = 153,115.80
  5. Step 5: Solve for x
    x = 153,115.80/410.39
  6. Step 6: Final answer
    x = 373.10

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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.