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Finding the Fourth Proportional to 510.32, 703.96 and 300.46

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Solution

The fourth proportional to 510.32, 703.96 and 300.46 is: 414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 703.96 = 300.46 : x
  2. Step 2: Convert to fraction form
    510.32/703.96 = 300.46/x
  3. Step 3: Cross multiply
    510.32x = 703.96 × 300.46
  4. Step 4: Simplify right side
    510.32x = 211,510.63
  5. Step 5: Solve for x
    x = 211,510.63/510.32
  6. Step 6: Final answer
    x = 414.47

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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.