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Finding the Fourth Proportional to 534.47, 737.58 and 301.60

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Solution

The fourth proportional to 534.47, 737.58 and 301.60 is: 416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.47 : 737.58 = 301.60 : x
  2. Step 2: Convert to fraction form
    534.47/737.58 = 301.60/x
  3. Step 3: Cross multiply
    534.47x = 737.58 × 301.60
  4. Step 4: Simplify right side
    534.47x = 222,454.13
  5. Step 5: Solve for x
    x = 222,454.13/534.47
  6. Step 6: Final answer
    x = 416.21

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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.