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Finding the Fourth Proportional to 296.55, 442.63 and 278.31

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Solution

The fourth proportional to 296.55, 442.63 and 278.31 is: 415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.55 : 442.63 = 278.31 : x
  2. Step 2: Convert to fraction form
    296.55/442.63 = 278.31/x
  3. Step 3: Cross multiply
    296.55x = 442.63 × 278.31
  4. Step 4: Simplify right side
    296.55x = 123,188.36
  5. Step 5: Solve for x
    x = 123,188.36/296.55
  6. Step 6: Final answer
    x = 415.41

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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.