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Finding the Fourth Proportional to 459.34, 633.74 and 293.48

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Solution

The fourth proportional to 459.34, 633.74 and 293.48 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.34 : 633.74 = 293.48 : x
  2. Step 2: Convert to fraction form
    459.34/633.74 = 293.48/x
  3. Step 3: Cross multiply
    459.34x = 633.74 × 293.48
  4. Step 4: Simplify right side
    459.34x = 185,990.02
  5. Step 5: Solve for x
    x = 185,990.02/459.34
  6. Step 6: Final answer
    x = 404.91

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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.