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Finding the Fourth Proportional to 315.30, 435.15 and 305.22

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Solution

The fourth proportional to 315.30, 435.15 and 305.22 is: 421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.30 : 435.15 = 305.22 : x
  2. Step 2: Convert to fraction form
    315.30/435.15 = 305.22/x
  3. Step 3: Cross multiply
    315.30x = 435.15 × 305.22
  4. Step 4: Simplify right side
    315.30x = 132,816.48
  5. Step 5: Solve for x
    x = 132,816.48/315.30
  6. Step 6: Final answer
    x = 421.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.