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Finding the Fourth Proportional to 369.10, 510.24 and 354.34

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Solution

The fourth proportional to 369.10, 510.24 and 354.34 is: 489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.10 : 510.24 = 354.34 : x
  2. Step 2: Convert to fraction form
    369.10/510.24 = 354.34/x
  3. Step 3: Cross multiply
    369.10x = 510.24 × 354.34
  4. Step 4: Simplify right side
    369.10x = 180,798.44
  5. Step 5: Solve for x
    x = 180,798.44/369.10
  6. Step 6: Final answer
    x = 489.84

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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.