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Finding the Fourth Proportional to 288.71, 398.70 and 247.02

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Solution

The fourth proportional to 288.71, 398.70 and 247.02 is: 341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.71 : 398.70 = 247.02 : x
  2. Step 2: Convert to fraction form
    288.71/398.70 = 247.02/x
  3. Step 3: Cross multiply
    288.71x = 398.70 × 247.02
  4. Step 4: Simplify right side
    288.71x = 98,488.55
  5. Step 5: Solve for x
    x = 98,488.55/288.71
  6. Step 6: Final answer
    x = 341.13

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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.