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Finding the Fourth Proportional to 448.02, 617.70 and 308.19

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Solution

The fourth proportional to 448.02, 617.70 and 308.19 is: 424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.02 : 617.70 = 308.19 : x
  2. Step 2: Convert to fraction form
    448.02/617.70 = 308.19/x
  3. Step 3: Cross multiply
    448.02x = 617.70 × 308.19
  4. Step 4: Simplify right side
    448.02x = 190,368.96
  5. Step 5: Solve for x
    x = 190,368.96/448.02
  6. Step 6: Final answer
    x = 424.91

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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.