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Finding the Fourth Proportional to 510.10, 765.31 and 217.45

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Solution

The fourth proportional to 510.10, 765.31 and 217.45 is: 326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 765.31 = 217.45 : x
  2. Step 2: Convert to fraction form
    510.10/765.31 = 217.45/x
  3. Step 3: Cross multiply
    510.10x = 765.31 × 217.45
  4. Step 4: Simplify right side
    510.10x = 166,417.48
  5. Step 5: Solve for x
    x = 166,417.48/510.10
  6. Step 6: Final answer
    x = 326.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.