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Finding the Fourth Proportional to 510.31, 704.25 and 286.26

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Solution

The fourth proportional to 510.31, 704.25 and 286.26 is: 395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.31 : 704.25 = 286.26 : x
  2. Step 2: Convert to fraction form
    510.31/704.25 = 286.26/x
  3. Step 3: Cross multiply
    510.31x = 704.25 × 286.26
  4. Step 4: Simplify right side
    510.31x = 201,597.82
  5. Step 5: Solve for x
    x = 201,597.82/510.31
  6. Step 6: Final answer
    x = 395.05

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1.5x scale

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.