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Finding the Fourth Proportional to 369.78, 510.28 and 204.00

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Solution

The fourth proportional to 369.78, 510.28 and 204.00 is: 281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 510.28 = 204.00 : x
  2. Step 2: Convert to fraction form
    369.78/510.28 = 204.00/x
  3. Step 3: Cross multiply
    369.78x = 510.28 × 204.00
  4. Step 4: Simplify right side
    369.78x = 104,094.57
  5. Step 5: Solve for x
    x = 104,094.57/369.78
  6. Step 6: Final answer
    x = 281.50

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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.