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Finding the Fourth Proportional to 314.94, 434.59 and 291.72

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Solution

The fourth proportional to 314.94, 434.59 and 291.72 is: 402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 434.59 = 291.72 : x
  2. Step 2: Convert to fraction form
    314.94/434.59 = 291.72/x
  3. Step 3: Cross multiply
    314.94x = 434.59 × 291.72
  4. Step 4: Simplify right side
    314.94x = 126,777.87
  5. Step 5: Solve for x
    x = 126,777.87/314.94
  6. Step 6: Final answer
    x = 402.55

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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.