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Finding the Fourth Proportional to 142.48, 212.59 and 141.10

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Solution

The fourth proportional to 142.48, 212.59 and 141.10 is: 210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.48 : 212.59 = 141.10 : x
  2. Step 2: Convert to fraction form
    142.48/212.59 = 141.10/x
  3. Step 3: Cross multiply
    142.48x = 212.59 × 141.10
  4. Step 4: Simplify right side
    142.48x = 29,995.39
  5. Step 5: Solve for x
    x = 29,995.39/142.48
  6. Step 6: Final answer
    x = 210.53

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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.