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Finding the Fourth Proportional to 288.81, 430.61 and 281.34

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Solution

The fourth proportional to 288.81, 430.61 and 281.34 is: 419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.81 : 430.61 = 281.34 : x
  2. Step 2: Convert to fraction form
    288.81/430.61 = 281.34/x
  3. Step 3: Cross multiply
    288.81x = 430.61 × 281.34
  4. Step 4: Simplify right side
    288.81x = 121,146.41
  5. Step 5: Solve for x
    x = 121,146.41/288.81
  6. Step 6: Final answer
    x = 419.47

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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.