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Finding the Fourth Proportional to 342.94, 473.25 and 187.69

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Solution

The fourth proportional to 342.94, 473.25 and 187.69 is: 259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 473.25 = 187.69 : x
  2. Step 2: Convert to fraction form
    342.94/473.25 = 187.69/x
  3. Step 3: Cross multiply
    342.94x = 473.25 × 187.69
  4. Step 4: Simplify right side
    342.94x = 88,823.81
  5. Step 5: Solve for x
    x = 88,823.81/342.94
  6. Step 6: Final answer
    x = 259.01

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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.