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Finding the Fourth Proportional to 316.40, 437.08 and 293.36

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Solution

The fourth proportional to 316.40, 437.08 and 293.36 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.40 : 437.08 = 293.36 : x
  2. Step 2: Convert to fraction form
    316.40/437.08 = 293.36/x
  3. Step 3: Cross multiply
    316.40x = 437.08 × 293.36
  4. Step 4: Simplify right side
    316.40x = 128,221.79
  5. Step 5: Solve for x
    x = 128,221.79/316.40
  6. Step 6: Final answer
    x = 405.25

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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.