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Finding the Fourth Proportional to 463.90, 695.30 and 247.36

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Solution

The fourth proportional to 463.90, 695.30 and 247.36 is: 370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.90 : 695.30 = 247.36 : x
  2. Step 2: Convert to fraction form
    463.90/695.30 = 247.36/x
  3. Step 3: Cross multiply
    463.90x = 695.30 × 247.36
  4. Step 4: Simplify right side
    463.90x = 171,989.41
  5. Step 5: Solve for x
    x = 171,989.41/463.90
  6. Step 6: Final answer
    x = 370.75

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