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Finding the Fourth Proportional to 525.95, 725.99 and 305.12

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Solution

The fourth proportional to 525.95, 725.99 and 305.12 is: 421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.95 : 725.99 = 305.12 : x
  2. Step 2: Convert to fraction form
    525.95/725.99 = 305.12/x
  3. Step 3: Cross multiply
    525.95x = 725.99 × 305.12
  4. Step 4: Simplify right side
    525.95x = 221,514.36
  5. Step 5: Solve for x
    x = 221,514.36/525.95
  6. Step 6: Final answer
    x = 421.17

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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.