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Finding the Fourth Proportional to 394.02, 587.84 and 358.65

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Solution

The fourth proportional to 394.02, 587.84 and 358.65 is: 535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.02 : 587.84 = 358.65 : x
  2. Step 2: Convert to fraction form
    394.02/587.84 = 358.65/x
  3. Step 3: Cross multiply
    394.02x = 587.84 × 358.65
  4. Step 4: Simplify right side
    394.02x = 210,827.02
  5. Step 5: Solve for x
    x = 210,827.02/394.02
  6. Step 6: Final answer
    x = 535.07

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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.