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Finding the Fourth Proportional to 356.77, 492.32 and 201.52

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Solution

The fourth proportional to 356.77, 492.32 and 201.52 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.77 : 492.32 = 201.52 : x
  2. Step 2: Convert to fraction form
    356.77/492.32 = 201.52/x
  3. Step 3: Cross multiply
    356.77x = 492.32 × 201.52
  4. Step 4: Simplify right side
    356.77x = 99,209.86
  5. Step 5: Solve for x
    x = 99,209.86/356.77
  6. Step 6: Final answer
    x = 278.08

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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.