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Finding the Fourth Proportional to 354.87, 488.69 and 312.65

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Solution

The fourth proportional to 354.87, 488.69 and 312.65 is: 430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.87 : 488.69 = 312.65 : x
  2. Step 2: Convert to fraction form
    354.87/488.69 = 312.65/x
  3. Step 3: Cross multiply
    354.87x = 488.69 × 312.65
  4. Step 4: Simplify right side
    354.87x = 152,784.92
  5. Step 5: Solve for x
    x = 152,784.92/354.87
  6. Step 6: Final answer
    x = 430.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.