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Finding the Fourth Proportional to 292.77, 437.42 and 240.82

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Solution

The fourth proportional to 292.77, 437.42 and 240.82 is: 359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.77 : 437.42 = 240.82 : x
  2. Step 2: Convert to fraction form
    292.77/437.42 = 240.82/x
  3. Step 3: Cross multiply
    292.77x = 437.42 × 240.82
  4. Step 4: Simplify right side
    292.77x = 105,338.99
  5. Step 5: Solve for x
    x = 105,338.99/292.77
  6. Step 6: Final answer
    x = 359.80

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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.