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Finding the Fourth Proportional to 314.88, 432.32 and 295.68

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Solution

The fourth proportional to 314.88, 432.32 and 295.68 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 432.32 = 295.68 : x
  2. Step 2: Convert to fraction form
    314.88/432.32 = 295.68/x
  3. Step 3: Cross multiply
    314.88x = 432.32 × 295.68
  4. Step 4: Simplify right side
    314.88x = 127,828.38
  5. Step 5: Solve for x
    x = 127,828.38/314.88
  6. Step 6: Final answer
    x = 405.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.