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Finding the Fourth Proportional to 401.63, 602.13 and 310.49

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Solution

The fourth proportional to 401.63, 602.13 and 310.49 is: 465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 602.13 = 310.49 : x
  2. Step 2: Convert to fraction form
    401.63/602.13 = 310.49/x
  3. Step 3: Cross multiply
    401.63x = 602.13 × 310.49
  4. Step 4: Simplify right side
    401.63x = 186,955.34
  5. Step 5: Solve for x
    x = 186,955.34/401.63
  6. Step 6: Final answer
    x = 465.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.