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Finding the Fourth Proportional to 289.19, 430.98 and 279.96

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Solution

The fourth proportional to 289.19, 430.98 and 279.96 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.19 : 430.98 = 279.96 : x
  2. Step 2: Convert to fraction form
    289.19/430.98 = 279.96/x
  3. Step 3: Cross multiply
    289.19x = 430.98 × 279.96
  4. Step 4: Simplify right side
    289.19x = 120,657.16
  5. Step 5: Solve for x
    x = 120,657.16/289.19
  6. Step 6: Final answer
    x = 417.23

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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.