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Finding the Fourth Proportional to 145.32, 219.14 and 142.59

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Solution

The fourth proportional to 145.32, 219.14 and 142.59 is: 215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 219.14 = 142.59 : x
  2. Step 2: Convert to fraction form
    145.32/219.14 = 142.59/x
  3. Step 3: Cross multiply
    145.32x = 219.14 × 142.59
  4. Step 4: Simplify right side
    145.32x = 31,246.46
  5. Step 5: Solve for x
    x = 31,246.46/145.32
  6. Step 6: Final answer
    x = 215.02

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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.