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Finding the Fourth Proportional to 342.12, 510.98 and 309.56

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Solution

The fourth proportional to 342.12, 510.98 and 309.56 is: 462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 510.98 = 309.56 : x
  2. Step 2: Convert to fraction form
    342.12/510.98 = 309.56/x
  3. Step 3: Cross multiply
    342.12x = 510.98 × 309.56
  4. Step 4: Simplify right side
    342.12x = 158,174.87
  5. Step 5: Solve for x
    x = 158,174.87/342.12
  6. Step 6: Final answer
    x = 462.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.