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Finding the Fourth Proportional to 436.13, 601.88 and 288.51

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Solution

The fourth proportional to 436.13, 601.88 and 288.51 is: 398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.13 : 601.88 = 288.51 : x
  2. Step 2: Convert to fraction form
    436.13/601.88 = 288.51/x
  3. Step 3: Cross multiply
    436.13x = 601.88 × 288.51
  4. Step 4: Simplify right side
    436.13x = 173,648.40
  5. Step 5: Solve for x
    x = 173,648.40/436.13
  6. Step 6: Final answer
    x = 398.16

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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.