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Finding the Fourth Proportional to 315.99, 471.55 and 260.62

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Solution

The fourth proportional to 315.99, 471.55 and 260.62 is: 388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.99 : 471.55 = 260.62 : x
  2. Step 2: Convert to fraction form
    315.99/471.55 = 260.62/x
  3. Step 3: Cross multiply
    315.99x = 471.55 × 260.62
  4. Step 4: Simplify right side
    315.99x = 122,895.36
  5. Step 5: Solve for x
    x = 122,895.36/315.99
  6. Step 6: Final answer
    x = 388.92

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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.