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Finding the Fourth Proportional to 463.78, 695.88 and 190.06

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Solution

The fourth proportional to 463.78, 695.88 and 190.06 is: 285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.78 : 695.88 = 190.06 : x
  2. Step 2: Convert to fraction form
    463.78/695.88 = 190.06/x
  3. Step 3: Cross multiply
    463.78x = 695.88 × 190.06
  4. Step 4: Simplify right side
    463.78x = 132,258.95
  5. Step 5: Solve for x
    x = 132,258.95/463.78
  6. Step 6: Final answer
    x = 285.18

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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.