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Finding the Fourth Proportional to 314.04, 432.38 and 267.32

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Solution

The fourth proportional to 314.04, 432.38 and 267.32 is: 368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.04 : 432.38 = 267.32 : x
  2. Step 2: Convert to fraction form
    314.04/432.38 = 267.32/x
  3. Step 3: Cross multiply
    314.04x = 432.38 × 267.32
  4. Step 4: Simplify right side
    314.04x = 115,583.82
  5. Step 5: Solve for x
    x = 115,583.82/314.04
  6. Step 6: Final answer
    x = 368.05

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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.