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Finding the Fourth Proportional to 342.30, 515.31 and 312.06

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Solution

The fourth proportional to 342.30, 515.31 and 312.06 is: 469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.30 : 515.31 = 312.06 : x
  2. Step 2: Convert to fraction form
    342.30/515.31 = 312.06/x
  3. Step 3: Cross multiply
    342.30x = 515.31 × 312.06
  4. Step 4: Simplify right side
    342.30x = 160,807.64
  5. Step 5: Solve for x
    x = 160,807.64/342.30
  6. Step 6: Final answer
    x = 469.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.