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Finding the Fourth Proportional to 315.48, 471.55 and 274.01

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Solution

The fourth proportional to 315.48, 471.55 and 274.01 is: 409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.48 : 471.55 = 274.01 : x
  2. Step 2: Convert to fraction form
    315.48/471.55 = 274.01/x
  3. Step 3: Cross multiply
    315.48x = 471.55 × 274.01
  4. Step 4: Simplify right side
    315.48x = 129,209.42
  5. Step 5: Solve for x
    x = 129,209.42/315.48
  6. Step 6: Final answer
    x = 409.57

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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.