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Finding the Fourth Proportional to 156.80, 233.92 and 145.76

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Solution

The fourth proportional to 156.80, 233.92 and 145.76 is: 217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.80 : 233.92 = 145.76 : x
  2. Step 2: Convert to fraction form
    156.80/233.92 = 145.76/x
  3. Step 3: Cross multiply
    156.80x = 233.92 × 145.76
  4. Step 4: Simplify right side
    156.80x = 34,094.65
  5. Step 5: Solve for x
    x = 34,094.65/156.80
  6. Step 6: Final answer
    x = 217.44

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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.