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Finding the Fourth Proportional to 297.24, 442.95 and 279.93

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Solution

The fourth proportional to 297.24, 442.95 and 279.93 is: 417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.24 : 442.95 = 279.93 : x
  2. Step 2: Convert to fraction form
    297.24/442.95 = 279.93/x
  3. Step 3: Cross multiply
    297.24x = 442.95 × 279.93
  4. Step 4: Simplify right side
    297.24x = 123,994.99
  5. Step 5: Solve for x
    x = 123,994.99/297.24
  6. Step 6: Final answer
    x = 417.15

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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.