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Finding the Fourth Proportional to 315.09, 469.73 and 289.17

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Solution

The fourth proportional to 315.09, 469.73 and 289.17 is: 431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 469.73 = 289.17 : x
  2. Step 2: Convert to fraction form
    315.09/469.73 = 289.17/x
  3. Step 3: Cross multiply
    315.09x = 469.73 × 289.17
  4. Step 4: Simplify right side
    315.09x = 135,832.55
  5. Step 5: Solve for x
    x = 135,832.55/315.09
  6. Step 6: Final answer
    x = 431.09

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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.