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Finding the Fourth Proportional to 500.01, 689.99 and 278.95

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Solution

The fourth proportional to 500.01, 689.99 and 278.95 is: 384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.01 : 689.99 = 278.95 : x
  2. Step 2: Convert to fraction form
    500.01/689.99 = 278.95/x
  3. Step 3: Cross multiply
    500.01x = 689.99 × 278.95
  4. Step 4: Simplify right side
    500.01x = 192,472.71
  5. Step 5: Solve for x
    x = 192,472.71/500.01
  6. Step 6: Final answer
    x = 384.94

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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.