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Finding the Fourth Proportional to 315.23, 475.02 and 270.16

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Solution

The fourth proportional to 315.23, 475.02 and 270.16 is: 407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.23 : 475.02 = 270.16 : x
  2. Step 2: Convert to fraction form
    315.23/475.02 = 270.16/x
  3. Step 3: Cross multiply
    315.23x = 475.02 × 270.16
  4. Step 4: Simplify right side
    315.23x = 128,330.22
  5. Step 5: Solve for x
    x = 128,330.22/315.23
  6. Step 6: Final answer
    x = 407.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.