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Finding the Fourth Proportional to 426.47, 587.16 and 371.18

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Solution

The fourth proportional to 426.47, 587.16 and 371.18 is: 511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 587.16 = 371.18 : x
  2. Step 2: Convert to fraction form
    426.47/587.16 = 371.18/x
  3. Step 3: Cross multiply
    426.47x = 587.16 × 371.18
  4. Step 4: Simplify right side
    426.47x = 217,943.52
  5. Step 5: Solve for x
    x = 217,943.52/426.47
  6. Step 6: Final answer
    x = 511.05

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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.