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Finding the Fourth Proportional to 315.65, 471.53 and 228.24

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Solution

The fourth proportional to 315.65, 471.53 and 228.24 is: 340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.65 : 471.53 = 228.24 : x
  2. Step 2: Convert to fraction form
    315.65/471.53 = 228.24/x
  3. Step 3: Cross multiply
    315.65x = 471.53 × 228.24
  4. Step 4: Simplify right side
    315.65x = 107,622.01
  5. Step 5: Solve for x
    x = 107,622.01/315.65
  6. Step 6: Final answer
    x = 340.95

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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.