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Finding the Fourth Proportional to 289.10, 430.84 and 282.94

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Solution

The fourth proportional to 289.10, 430.84 and 282.94 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 430.84 = 282.94 : x
  2. Step 2: Convert to fraction form
    289.10/430.84 = 282.94/x
  3. Step 3: Cross multiply
    289.10x = 430.84 × 282.94
  4. Step 4: Simplify right side
    289.10x = 121,901.87
  5. Step 5: Solve for x
    x = 121,901.87/289.10
  6. Step 6: Final answer
    x = 421.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.