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Finding the Fourth Proportional to 459.13, 633.86 and 291.31

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Solution

The fourth proportional to 459.13, 633.86 and 291.31 is: 402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.13 : 633.86 = 291.31 : x
  2. Step 2: Convert to fraction form
    459.13/633.86 = 291.31/x
  3. Step 3: Cross multiply
    459.13x = 633.86 × 291.31
  4. Step 4: Simplify right side
    459.13x = 184,649.76
  5. Step 5: Solve for x
    x = 184,649.76/459.13
  6. Step 6: Final answer
    x = 402.17

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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.