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Finding the Fourth Proportional to 387.77, 534.76 and 262.02

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Solution

The fourth proportional to 387.77, 534.76 and 262.02 is: 361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.77 : 534.76 = 262.02 : x
  2. Step 2: Convert to fraction form
    387.77/534.76 = 262.02/x
  3. Step 3: Cross multiply
    387.77x = 534.76 × 262.02
  4. Step 4: Simplify right side
    387.77x = 140,117.16
  5. Step 5: Solve for x
    x = 140,117.16/387.77
  6. Step 6: Final answer
    x = 361.34

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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.