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Finding the Fourth Proportional to 263.64, 394.87 and 152.32

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Solution

The fourth proportional to 263.64, 394.87 and 152.32 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 394.87 = 152.32 : x
  2. Step 2: Convert to fraction form
    263.64/394.87 = 152.32/x
  3. Step 3: Cross multiply
    263.64x = 394.87 × 152.32
  4. Step 4: Simplify right side
    263.64x = 60,146.60
  5. Step 5: Solve for x
    x = 60,146.60/263.64
  6. Step 6: Final answer
    x = 228.14

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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.