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Finding the Fourth Proportional to 410.46, 565.95 and 312.05

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Solution

The fourth proportional to 410.46, 565.95 and 312.05 is: 430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.46 : 565.95 = 312.05 : x
  2. Step 2: Convert to fraction form
    410.46/565.95 = 312.05/x
  3. Step 3: Cross multiply
    410.46x = 565.95 × 312.05
  4. Step 4: Simplify right side
    410.46x = 176,604.70
  5. Step 5: Solve for x
    x = 176,604.70/410.46
  6. Step 6: Final answer
    x = 430.26

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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.