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Finding the Fourth Proportional to 410.53, 565.77 and 293.89

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Solution

The fourth proportional to 410.53, 565.77 and 293.89 is: 405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.53 : 565.77 = 293.89 : x
  2. Step 2: Convert to fraction form
    410.53/565.77 = 293.89/x
  3. Step 3: Cross multiply
    410.53x = 565.77 × 293.89
  4. Step 4: Simplify right side
    410.53x = 166,274.15
  5. Step 5: Solve for x
    x = 166,274.15/410.53
  6. Step 6: Final answer
    x = 405.02

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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.