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Finding the Fourth Proportional to 315.55, 435.45 and 175.66

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Solution

The fourth proportional to 315.55, 435.45 and 175.66 is: 242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.55 : 435.45 = 175.66 : x
  2. Step 2: Convert to fraction form
    315.55/435.45 = 175.66/x
  3. Step 3: Cross multiply
    315.55x = 435.45 × 175.66
  4. Step 4: Simplify right side
    315.55x = 76,490.22
  5. Step 5: Solve for x
    x = 76,490.22/315.55
  6. Step 6: Final answer
    x = 242.40

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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.