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Finding the Fourth Proportional to 315.99, 471.47 and 313.56

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Solution

The fourth proportional to 315.99, 471.47 and 313.56 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.99 : 471.47 = 313.56 : x
  2. Step 2: Convert to fraction form
    315.99/471.47 = 313.56/x
  3. Step 3: Cross multiply
    315.99x = 471.47 × 313.56
  4. Step 4: Simplify right side
    315.99x = 147,834.13
  5. Step 5: Solve for x
    x = 147,834.13/315.99
  6. Step 6: Final answer
    x = 467.84

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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.