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Finding the Fourth Proportional to 288.83, 430.49 and 288.38

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Solution

The fourth proportional to 288.83, 430.49 and 288.38 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.83 : 430.49 = 288.38 : x
  2. Step 2: Convert to fraction form
    288.83/430.49 = 288.38/x
  3. Step 3: Cross multiply
    288.83x = 430.49 × 288.38
  4. Step 4: Simplify right side
    288.83x = 124,141.11
  5. Step 5: Solve for x
    x = 124,141.11/288.83
  6. Step 6: Final answer
    x = 429.81

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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.