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Finding the Fourth Proportional to 175.07, 263.58 and 145.10

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Solution

The fourth proportional to 175.07, 263.58 and 145.10 is: 218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.07 : 263.58 = 145.10 : x
  2. Step 2: Convert to fraction form
    175.07/263.58 = 145.10/x
  3. Step 3: Cross multiply
    175.07x = 263.58 × 145.10
  4. Step 4: Simplify right side
    175.07x = 38,245.46
  5. Step 5: Solve for x
    x = 38,245.46/175.07
  6. Step 6: Final answer
    x = 218.46

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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.