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Finding the Fourth Proportional to 510.08, 703.91 and 277.20

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Solution

The fourth proportional to 510.08, 703.91 and 277.20 is: 382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.08 : 703.91 = 277.20 : x
  2. Step 2: Convert to fraction form
    510.08/703.91 = 277.20/x
  3. Step 3: Cross multiply
    510.08x = 703.91 × 277.20
  4. Step 4: Simplify right side
    510.08x = 195,122.47
  5. Step 5: Solve for x
    x = 195,122.47/510.08
  6. Step 6: Final answer
    x = 382.54

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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.