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Finding the Fourth Proportional to 155.80, 234.88 and 145.36

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Solution

The fourth proportional to 155.80, 234.88 and 145.36 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.80 : 234.88 = 145.36 : x
  2. Step 2: Convert to fraction form
    155.80/234.88 = 145.36/x
  3. Step 3: Cross multiply
    155.80x = 234.88 × 145.36
  4. Step 4: Simplify right side
    155.80x = 34,142.16
  5. Step 5: Solve for x
    x = 34,142.16/155.80
  6. Step 6: Final answer
    x = 219.14

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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.