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Finding the Fourth Proportional to 448.96, 670.41 and 362.40

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Solution

The fourth proportional to 448.96, 670.41 and 362.40 is: 541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.96 : 670.41 = 362.40 : x
  2. Step 2: Convert to fraction form
    448.96/670.41 = 362.40/x
  3. Step 3: Cross multiply
    448.96x = 670.41 × 362.40
  4. Step 4: Simplify right side
    448.96x = 242,956.58
  5. Step 5: Solve for x
    x = 242,956.58/448.96
  6. Step 6: Final answer
    x = 541.15

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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.