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Finding the Fourth Proportional to 468.55, 646.33 and 293.59

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Solution

The fourth proportional to 468.55, 646.33 and 293.59 is: 404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.55 : 646.33 = 293.59 : x
  2. Step 2: Convert to fraction form
    468.55/646.33 = 293.59/x
  3. Step 3: Cross multiply
    468.55x = 646.33 × 293.59
  4. Step 4: Simplify right side
    468.55x = 189,756.02
  5. Step 5: Solve for x
    x = 189,756.02/468.55
  6. Step 6: Final answer
    x = 404.99

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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.