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Finding the Fourth Proportional to 153.16, 210.35 and 141.89

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Solution

The fourth proportional to 153.16, 210.35 and 141.89 is: 194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.16 : 210.35 = 141.89 : x
  2. Step 2: Convert to fraction form
    153.16/210.35 = 141.89/x
  3. Step 3: Cross multiply
    153.16x = 210.35 × 141.89
  4. Step 4: Simplify right side
    153.16x = 29,845.86
  5. Step 5: Solve for x
    x = 29,845.86/153.16
  6. Step 6: Final answer
    x = 194.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.