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Finding the Fourth Proportional to 369.48, 510.12 and 229.75

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Solution

The fourth proportional to 369.48, 510.12 and 229.75 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.48 : 510.12 = 229.75 : x
  2. Step 2: Convert to fraction form
    369.48/510.12 = 229.75/x
  3. Step 3: Cross multiply
    369.48x = 510.12 × 229.75
  4. Step 4: Simplify right side
    369.48x = 117,196.37
  5. Step 5: Solve for x
    x = 117,196.37/369.48
  6. Step 6: Final answer
    x = 317.20

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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.