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Finding the Fourth Proportional to 510.10, 703.71 and 299.90

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Solution

The fourth proportional to 510.10, 703.71 and 299.90 is: 413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 703.71 = 299.90 : x
  2. Step 2: Convert to fraction form
    510.10/703.71 = 299.90/x
  3. Step 3: Cross multiply
    510.10x = 703.71 × 299.90
  4. Step 4: Simplify right side
    510.10x = 211,045.23
  5. Step 5: Solve for x
    x = 211,045.23/510.10
  6. Step 6: Final answer
    x = 413.74

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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.