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Finding the Fourth Proportional to 262.18, 392.80 and 159.10

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Solution

The fourth proportional to 262.18, 392.80 and 159.10 is: 238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.18 : 392.80 = 159.10 : x
  2. Step 2: Convert to fraction form
    262.18/392.80 = 159.10/x
  3. Step 3: Cross multiply
    262.18x = 392.80 × 159.10
  4. Step 4: Simplify right side
    262.18x = 62,494.48
  5. Step 5: Solve for x
    x = 62,494.48/262.18
  6. Step 6: Final answer
    x = 238.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.