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Finding the Fourth Proportional to 369.65, 510.03 and 229.70

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Solution

The fourth proportional to 369.65, 510.03 and 229.70 is: 316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.65 : 510.03 = 229.70 : x
  2. Step 2: Convert to fraction form
    369.65/510.03 = 229.70/x
  3. Step 3: Cross multiply
    369.65x = 510.03 × 229.70
  4. Step 4: Simplify right side
    369.65x = 117,151.34
  5. Step 5: Solve for x
    x = 117,151.34/369.65
  6. Step 6: Final answer
    x = 316.93

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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.