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Finding the Fourth Proportional to 159.60, 237.75 and 145.56

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Solution

The fourth proportional to 159.60, 237.75 and 145.56 is: 216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 237.75 = 145.56 : x
  2. Step 2: Convert to fraction form
    159.60/237.75 = 145.56/x
  3. Step 3: Cross multiply
    159.60x = 237.75 × 145.56
  4. Step 4: Simplify right side
    159.60x = 34,606.89
  5. Step 5: Solve for x
    x = 34,606.89/159.60
  6. Step 6: Final answer
    x = 216.84

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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.