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Finding the Fourth Proportional to 390.13, 581.58 and 360.97

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Solution

The fourth proportional to 390.13, 581.58 and 360.97 is: 538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.13 : 581.58 = 360.97 : x
  2. Step 2: Convert to fraction form
    390.13/581.58 = 360.97/x
  3. Step 3: Cross multiply
    390.13x = 581.58 × 360.97
  4. Step 4: Simplify right side
    390.13x = 209,935.29
  5. Step 5: Solve for x
    x = 209,935.29/390.13
  6. Step 6: Final answer
    x = 538.11

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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.