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Finding the Fourth Proportional to 392.16, 586.62 and 228.90

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Solution

The fourth proportional to 392.16, 586.62 and 228.90 is: 342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 586.62 = 228.90 : x
  2. Step 2: Convert to fraction form
    392.16/586.62 = 228.90/x
  3. Step 3: Cross multiply
    392.16x = 586.62 × 228.90
  4. Step 4: Simplify right side
    392.16x = 134,277.32
  5. Step 5: Solve for x
    x = 134,277.32/392.16
  6. Step 6: Final answer
    x = 342.40

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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.