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Finding the Fourth Proportional to 369.42, 510.20 and 231.50

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Solution

The fourth proportional to 369.42, 510.20 and 231.50 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 510.20 = 231.50 : x
  2. Step 2: Convert to fraction form
    369.42/510.20 = 231.50/x
  3. Step 3: Cross multiply
    369.42x = 510.20 × 231.50
  4. Step 4: Simplify right side
    369.42x = 118,111.30
  5. Step 5: Solve for x
    x = 118,111.30/369.42
  6. Step 6: Final answer
    x = 319.72

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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.