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Finding the Fourth Proportional to 142.04, 211.76 and 130.52

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Solution

The fourth proportional to 142.04, 211.76 and 130.52 is: 194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.04 : 211.76 = 130.52 : x
  2. Step 2: Convert to fraction form
    142.04/211.76 = 130.52/x
  3. Step 3: Cross multiply
    142.04x = 211.76 × 130.52
  4. Step 4: Simplify right side
    142.04x = 27,638.92
  5. Step 5: Solve for x
    x = 27,638.92/142.04
  6. Step 6: Final answer
    x = 194.59

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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.