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Finding the Fourth Proportional to 510.42, 704.38 and 277.55

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Solution

The fourth proportional to 510.42, 704.38 and 277.55 is: 383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 704.38 = 277.55 : x
  2. Step 2: Convert to fraction form
    510.42/704.38 = 277.55/x
  3. Step 3: Cross multiply
    510.42x = 704.38 × 277.55
  4. Step 4: Simplify right side
    510.42x = 195,500.14
  5. Step 5: Solve for x
    x = 195,500.14/510.42
  6. Step 6: Final answer
    x = 383.02

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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.