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Finding the Fourth Proportional to 505.73, 758.52 and 140.47

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Solution

The fourth proportional to 505.73, 758.52 and 140.47 is: 210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.73 : 758.52 = 140.47 : x
  2. Step 2: Convert to fraction form
    505.73/758.52 = 140.47/x
  3. Step 3: Cross multiply
    505.73x = 758.52 × 140.47
  4. Step 4: Simplify right side
    505.73x = 106,547.41
  5. Step 5: Solve for x
    x = 106,547.41/505.73
  6. Step 6: Final answer
    x = 210.68

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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.