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Finding the Fourth Proportional to 403.59, 602.88 and 300.32

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Solution

The fourth proportional to 403.59, 602.88 and 300.32 is: 448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.59 : 602.88 = 300.32 : x
  2. Step 2: Convert to fraction form
    403.59/602.88 = 300.32/x
  3. Step 3: Cross multiply
    403.59x = 602.88 × 300.32
  4. Step 4: Simplify right side
    403.59x = 181,056.92
  5. Step 5: Solve for x
    x = 181,056.92/403.59
  6. Step 6: Final answer
    x = 448.62

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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.