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Finding the Fourth Proportional to 448.51, 619.02 and 252.02

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Solution

The fourth proportional to 448.51, 619.02 and 252.02 is: 347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 619.02 = 252.02 : x
  2. Step 2: Convert to fraction form
    448.51/619.02 = 252.02/x
  3. Step 3: Cross multiply
    448.51x = 619.02 × 252.02
  4. Step 4: Simplify right side
    448.51x = 156,004.81
  5. Step 5: Solve for x
    x = 156,004.81/448.51
  6. Step 6: Final answer
    x = 347.83

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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.