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Finding the Fourth Proportional to 440.30, 607.80 and 293.13

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Solution

The fourth proportional to 440.30, 607.80 and 293.13 is: 404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.30 : 607.80 = 293.13 : x
  2. Step 2: Convert to fraction form
    440.30/607.80 = 293.13/x
  3. Step 3: Cross multiply
    440.30x = 607.80 × 293.13
  4. Step 4: Simplify right side
    440.30x = 178,164.41
  5. Step 5: Solve for x
    x = 178,164.41/440.30
  6. Step 6: Final answer
    x = 404.65

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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.