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Finding the Fourth Proportional to 510.98, 705.16 and 289.94

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Solution

The fourth proportional to 510.98, 705.16 and 289.94 is: 400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 705.16 = 289.94 : x
  2. Step 2: Convert to fraction form
    510.98/705.16 = 289.94/x
  3. Step 3: Cross multiply
    510.98x = 705.16 × 289.94
  4. Step 4: Simplify right side
    510.98x = 204,449.84
  5. Step 5: Solve for x
    x = 204,449.84/510.98
  6. Step 6: Final answer
    x = 400.12

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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.