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Finding the Fourth Proportional to 356.78, 535.47 and 279.32

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Solution

The fourth proportional to 356.78, 535.47 and 279.32 is: 419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.78 : 535.47 = 279.32 : x
  2. Step 2: Convert to fraction form
    356.78/535.47 = 279.32/x
  3. Step 3: Cross multiply
    356.78x = 535.47 × 279.32
  4. Step 4: Simplify right side
    356.78x = 149,567.48
  5. Step 5: Solve for x
    x = 149,567.48/356.78
  6. Step 6: Final answer
    x = 419.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.