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Finding the Fourth Proportional to 410.58, 566.34 and 312.12

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Solution

The fourth proportional to 410.58, 566.34 and 312.12 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.58 : 566.34 = 312.12 : x
  2. Step 2: Convert to fraction form
    410.58/566.34 = 312.12/x
  3. Step 3: Cross multiply
    410.58x = 566.34 × 312.12
  4. Step 4: Simplify right side
    410.58x = 176,766.04
  5. Step 5: Solve for x
    x = 176,766.04/410.58
  6. Step 6: Final answer
    x = 430.53

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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.