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Finding the Fourth Proportional to 289.35, 430.65 and 288.45

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Solution

The fourth proportional to 289.35, 430.65 and 288.45 is: 429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.35 : 430.65 = 288.45 : x
  2. Step 2: Convert to fraction form
    289.35/430.65 = 288.45/x
  3. Step 3: Cross multiply
    289.35x = 430.65 × 288.45
  4. Step 4: Simplify right side
    289.35x = 124,220.99
  5. Step 5: Solve for x
    x = 124,220.99/289.35
  6. Step 6: Final answer
    x = 429.31

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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.