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Finding the Fourth Proportional to 393.96, 586.74 and 368.65

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Solution

The fourth proportional to 393.96, 586.74 and 368.65 is: 549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.96 : 586.74 = 368.65 : x
  2. Step 2: Convert to fraction form
    393.96/586.74 = 368.65/x
  3. Step 3: Cross multiply
    393.96x = 586.74 × 368.65
  4. Step 4: Simplify right side
    393.96x = 216,303.82
  5. Step 5: Solve for x
    x = 216,303.82/393.96
  6. Step 6: Final answer
    x = 549.04

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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.