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Finding the Fourth Proportional to 342.64, 511.49 and 306.16

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Solution

The fourth proportional to 342.64, 511.49 and 306.16 is: 457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.64 : 511.49 = 306.16 : x
  2. Step 2: Convert to fraction form
    342.64/511.49 = 306.16/x
  3. Step 3: Cross multiply
    342.64x = 511.49 × 306.16
  4. Step 4: Simplify right side
    342.64x = 156,597.78
  5. Step 5: Solve for x
    x = 156,597.78/342.64
  6. Step 6: Final answer
    x = 457.03

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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.