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Finding the Fourth Proportional to 313.58, 432.56 and 201.53

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Solution

The fourth proportional to 313.58, 432.56 and 201.53 is: 278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.58 : 432.56 = 201.53 : x
  2. Step 2: Convert to fraction form
    313.58/432.56 = 201.53/x
  3. Step 3: Cross multiply
    313.58x = 432.56 × 201.53
  4. Step 4: Simplify right side
    313.58x = 87,175.40
  5. Step 5: Solve for x
    x = 87,175.40/313.58
  6. Step 6: Final answer
    x = 278.00

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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.