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Finding the Fourth Proportional to 390.47, 584.78 and 228.29

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Solution

The fourth proportional to 390.47, 584.78 and 228.29 is: 341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.47 : 584.78 = 228.29 : x
  2. Step 2: Convert to fraction form
    390.47/584.78 = 228.29/x
  3. Step 3: Cross multiply
    390.47x = 584.78 × 228.29
  4. Step 4: Simplify right side
    390.47x = 133,495.36
  5. Step 5: Solve for x
    x = 133,495.36/390.47
  6. Step 6: Final answer
    x = 341.89

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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.