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Finding the Fourth Proportional to 140.51, 210.78 and 63.53

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Solution

The fourth proportional to 140.51, 210.78 and 63.53 is: 95.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.51 : 210.78 = 63.53 : x
  2. Step 2: Convert to fraction form
    140.51/210.78 = 63.53/x
  3. Step 3: Cross multiply
    140.51x = 210.78 × 63.53
  4. Step 4: Simplify right side
    140.51x = 13,391.60
  5. Step 5: Solve for x
    x = 13,391.60/140.51
  6. Step 6: Final answer
    x = 95.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.