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Finding the Fourth Proportional to 159.47, 237.83 and 156.59

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Solution

The fourth proportional to 159.47, 237.83 and 156.59 is: 233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.47 : 237.83 = 156.59 : x
  2. Step 2: Convert to fraction form
    159.47/237.83 = 156.59/x
  3. Step 3: Cross multiply
    159.47x = 237.83 × 156.59
  4. Step 4: Simplify right side
    159.47x = 37,239.83
  5. Step 5: Solve for x
    x = 37,239.83/159.47
  6. Step 6: Final answer
    x = 233.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.