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Finding the Fourth Proportional to 390.32, 581.66 and 367.24

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Solution

The fourth proportional to 390.32, 581.66 and 367.24 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.32 : 581.66 = 367.24 : x
  2. Step 2: Convert to fraction form
    390.32/581.66 = 367.24/x
  3. Step 3: Cross multiply
    390.32x = 581.66 × 367.24
  4. Step 4: Simplify right side
    390.32x = 213,608.82
  5. Step 5: Solve for x
    x = 213,608.82/390.32
  6. Step 6: Final answer
    x = 547.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.