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Finding the Fourth Proportional to 387.05, 577.76 and 358.50

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Solution

The fourth proportional to 387.05, 577.76 and 358.50 is: 535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.05 : 577.76 = 358.50 : x
  2. Step 2: Convert to fraction form
    387.05/577.76 = 358.50/x
  3. Step 3: Cross multiply
    387.05x = 577.76 × 358.50
  4. Step 4: Simplify right side
    387.05x = 207,127.86
  5. Step 5: Solve for x
    x = 207,127.86/387.05
  6. Step 6: Final answer
    x = 535.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.