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Finding the Fourth Proportional to 296.50, 442.95 and 247.90

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Solution

The fourth proportional to 296.50, 442.95 and 247.90 is: 370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.50 : 442.95 = 247.90 : x
  2. Step 2: Convert to fraction form
    296.50/442.95 = 247.90/x
  3. Step 3: Cross multiply
    296.50x = 442.95 × 247.90
  4. Step 4: Simplify right side
    296.50x = 109,807.31
  5. Step 5: Solve for x
    x = 109,807.31/296.50
  6. Step 6: Final answer
    x = 370.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.