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Finding the Fourth Proportional to 390.98, 587.03 and 228.75

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Solution

The fourth proportional to 390.98, 587.03 and 228.75 is: 343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.98 : 587.03 = 228.75 : x
  2. Step 2: Convert to fraction form
    390.98/587.03 = 228.75/x
  3. Step 3: Cross multiply
    390.98x = 587.03 × 228.75
  4. Step 4: Simplify right side
    390.98x = 134,281.97
  5. Step 5: Solve for x
    x = 134,281.97/390.98
  6. Step 6: Final answer
    x = 343.45

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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.