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Finding the Fourth Proportional to 387.77, 534.59 and 263.24

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Solution

The fourth proportional to 387.77, 534.59 and 263.24 is: 362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.77 : 534.59 = 263.24 : x
  2. Step 2: Convert to fraction form
    387.77/534.59 = 263.24/x
  3. Step 3: Cross multiply
    387.77x = 534.59 × 263.24
  4. Step 4: Simplify right side
    387.77x = 140,725.47
  5. Step 5: Solve for x
    x = 140,725.47/387.77
  6. Step 6: Final answer
    x = 362.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.