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Finding the Fourth Proportional to 410.02, 565.49 and 348.05

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Solution

The fourth proportional to 410.02, 565.49 and 348.05 is: 480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.02 : 565.49 = 348.05 : x
  2. Step 2: Convert to fraction form
    410.02/565.49 = 348.05/x
  3. Step 3: Cross multiply
    410.02x = 565.49 × 348.05
  4. Step 4: Simplify right side
    410.02x = 196,818.79
  5. Step 5: Solve for x
    x = 196,818.79/410.02
  6. Step 6: Final answer
    x = 480.02

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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.