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Finding the Fourth Proportional to 510.26, 703.73 and 344.40

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Solution

The fourth proportional to 510.26, 703.73 and 344.40 is: 474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.26 : 703.73 = 344.40 : x
  2. Step 2: Convert to fraction form
    510.26/703.73 = 344.40/x
  3. Step 3: Cross multiply
    510.26x = 703.73 × 344.40
  4. Step 4: Simplify right side
    510.26x = 242,362.89
  5. Step 5: Solve for x
    x = 242,362.89/510.26
  6. Step 6: Final answer
    x = 474.98

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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.