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Finding the Fourth Proportional to 448.94, 670.68 and 357.82

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Solution

The fourth proportional to 448.94, 670.68 and 357.82 is: 534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.94 : 670.68 = 357.82 : x
  2. Step 2: Convert to fraction form
    448.94/670.68 = 357.82/x
  3. Step 3: Cross multiply
    448.94x = 670.68 × 357.82
  4. Step 4: Simplify right side
    448.94x = 239,981.04
  5. Step 5: Solve for x
    x = 239,981.04/448.94
  6. Step 6: Final answer
    x = 534.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.