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Finding the Fourth Proportional to 145.39, 219.10 and 130.95

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Solution

The fourth proportional to 145.39, 219.10 and 130.95 is: 197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.39 : 219.10 = 130.95 : x
  2. Step 2: Convert to fraction form
    145.39/219.10 = 130.95/x
  3. Step 3: Cross multiply
    145.39x = 219.10 × 130.95
  4. Step 4: Simplify right side
    145.39x = 28,691.64
  5. Step 5: Solve for x
    x = 28,691.64/145.39
  6. Step 6: Final answer
    x = 197.35

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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.