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Finding the Fourth Proportional to 314.06, 432.95 and 225.59

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Solution

The fourth proportional to 314.06, 432.95 and 225.59 is: 310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.06 : 432.95 = 225.59 : x
  2. Step 2: Convert to fraction form
    314.06/432.95 = 225.59/x
  3. Step 3: Cross multiply
    314.06x = 432.95 × 225.59
  4. Step 4: Simplify right side
    314.06x = 97,665.90
  5. Step 5: Solve for x
    x = 97,665.90/314.06
  6. Step 6: Final answer
    x = 310.98

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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.