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Finding the Fourth Proportional to 370.39, 510.98 and 212.98

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Solution

The fourth proportional to 370.39, 510.98 and 212.98 is: 293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.39 : 510.98 = 212.98 : x
  2. Step 2: Convert to fraction form
    370.39/510.98 = 212.98/x
  3. Step 3: Cross multiply
    370.39x = 510.98 × 212.98
  4. Step 4: Simplify right side
    370.39x = 108,829.64
  5. Step 5: Solve for x
    x = 108,829.64/370.39
  6. Step 6: Final answer
    x = 293.83

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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.