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Finding the Fourth Proportional to 159.48, 240.54 and 157.90

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Solution

The fourth proportional to 159.48, 240.54 and 157.90 is: 238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.48 : 240.54 = 157.90 : x
  2. Step 2: Convert to fraction form
    159.48/240.54 = 157.90/x
  3. Step 3: Cross multiply
    159.48x = 240.54 × 157.90
  4. Step 4: Simplify right side
    159.48x = 37,981.27
  5. Step 5: Solve for x
    x = 37,981.27/159.48
  6. Step 6: Final answer
    x = 238.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.