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Finding the Fourth Proportional to 294.88, 407.50 and 224.86

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Solution

The fourth proportional to 294.88, 407.50 and 224.86 is: 310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.88 : 407.50 = 224.86 : x
  2. Step 2: Convert to fraction form
    294.88/407.50 = 224.86/x
  3. Step 3: Cross multiply
    294.88x = 407.50 × 224.86
  4. Step 4: Simplify right side
    294.88x = 91,630.45
  5. Step 5: Solve for x
    x = 91,630.45/294.88
  6. Step 6: Final answer
    x = 310.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.