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Finding the Fourth Proportional to 314.21, 432.87 and 252.02

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Solution

The fourth proportional to 314.21, 432.87 and 252.02 is: 347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.21 : 432.87 = 252.02 : x
  2. Step 2: Convert to fraction form
    314.21/432.87 = 252.02/x
  3. Step 3: Cross multiply
    314.21x = 432.87 × 252.02
  4. Step 4: Simplify right side
    314.21x = 109,091.90
  5. Step 5: Solve for x
    x = 109,091.90/314.21
  6. Step 6: Final answer
    x = 347.19

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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.