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Finding the Fourth Proportional to 315.99, 436.05 and 288.45

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Solution

The fourth proportional to 315.99, 436.05 and 288.45 is: 398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.99 : 436.05 = 288.45 : x
  2. Step 2: Convert to fraction form
    315.99/436.05 = 288.45/x
  3. Step 3: Cross multiply
    315.99x = 436.05 × 288.45
  4. Step 4: Simplify right side
    315.99x = 125,778.62
  5. Step 5: Solve for x
    x = 125,778.62/315.99
  6. Step 6: Final answer
    x = 398.05

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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.