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Finding the Fourth Proportional to 314.46, 432.90 and 265.32

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Solution

The fourth proportional to 314.46, 432.90 and 265.32 is: 365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 432.90 = 265.32 : x
  2. Step 2: Convert to fraction form
    314.46/432.90 = 265.32/x
  3. Step 3: Cross multiply
    314.46x = 432.90 × 265.32
  4. Step 4: Simplify right side
    314.46x = 114,857.03
  5. Step 5: Solve for x
    x = 114,857.03/314.46
  6. Step 6: Final answer
    x = 365.25

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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.