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Finding the Fourth Proportional to 296.98, 442.51 and 264.65

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Solution

The fourth proportional to 296.98, 442.51 and 264.65 is: 394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.98 : 442.51 = 264.65 : x
  2. Step 2: Convert to fraction form
    296.98/442.51 = 264.65/x
  3. Step 3: Cross multiply
    296.98x = 442.51 × 264.65
  4. Step 4: Simplify right side
    296.98x = 117,110.27
  5. Step 5: Solve for x
    x = 117,110.27/296.98
  6. Step 6: Final answer
    x = 394.34

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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.