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Finding the Fourth Proportional to 314.18, 432.51 and 270.26

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Solution

The fourth proportional to 314.18, 432.51 and 270.26 is: 372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.18 : 432.51 = 270.26 : x
  2. Step 2: Convert to fraction form
    314.18/432.51 = 270.26/x
  3. Step 3: Cross multiply
    314.18x = 432.51 × 270.26
  4. Step 4: Simplify right side
    314.18x = 116,890.15
  5. Step 5: Solve for x
    x = 116,890.15/314.18
  6. Step 6: Final answer
    x = 372.05

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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.