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Finding the Fourth Proportional to 287.40, 394.48 and 272.02

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Solution

The fourth proportional to 287.40, 394.48 and 272.02 is: 373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.40 : 394.48 = 272.02 : x
  2. Step 2: Convert to fraction form
    287.40/394.48 = 272.02/x
  3. Step 3: Cross multiply
    287.40x = 394.48 × 272.02
  4. Step 4: Simplify right side
    287.40x = 107,307.48
  5. Step 5: Solve for x
    x = 107,307.48/287.40
  6. Step 6: Final answer
    x = 373.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.