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Finding the Fourth Proportional to 448.81, 619.34 and 252.32

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Solution

The fourth proportional to 448.81, 619.34 and 252.32 is: 348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.81 : 619.34 = 252.32 : x
  2. Step 2: Convert to fraction form
    448.81/619.34 = 252.32/x
  3. Step 3: Cross multiply
    448.81x = 619.34 × 252.32
  4. Step 4: Simplify right side
    448.81x = 156,267.51
  5. Step 5: Solve for x
    x = 156,267.51/448.81
  6. Step 6: Final answer
    x = 348.18

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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.