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Finding the Fourth Proportional to 289.16, 430.63 and 276.68

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Solution

The fourth proportional to 289.16, 430.63 and 276.68 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 430.63 = 276.68 : x
  2. Step 2: Convert to fraction form
    289.16/430.63 = 276.68/x
  3. Step 3: Cross multiply
    289.16x = 430.63 × 276.68
  4. Step 4: Simplify right side
    289.16x = 119,146.71
  5. Step 5: Solve for x
    x = 119,146.71/289.16
  6. Step 6: Final answer
    x = 412.04

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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.