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Finding the Fourth Proportional to 448.06, 617.85 and 349.64

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Solution

The fourth proportional to 448.06, 617.85 and 349.64 is: 482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.06 : 617.85 = 349.64 : x
  2. Step 2: Convert to fraction form
    448.06/617.85 = 349.64/x
  3. Step 3: Cross multiply
    448.06x = 617.85 × 349.64
  4. Step 4: Simplify right side
    448.06x = 216,025.07
  5. Step 5: Solve for x
    x = 216,025.07/448.06
  6. Step 6: Final answer
    x = 482.13

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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.