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Finding the Fourth Proportional to 389.16, 536.74 and 250.92

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Solution

The fourth proportional to 389.16, 536.74 and 250.92 is: 346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.16 : 536.74 = 250.92 : x
  2. Step 2: Convert to fraction form
    389.16/536.74 = 250.92/x
  3. Step 3: Cross multiply
    389.16x = 536.74 × 250.92
  4. Step 4: Simplify right side
    389.16x = 134,678.80
  5. Step 5: Solve for x
    x = 134,678.80/389.16
  6. Step 6: Final answer
    x = 346.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.