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Finding the Fourth Proportional to 403.46, 602.62 and 364.88

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Solution

The fourth proportional to 403.46, 602.62 and 364.88 is: 545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.46 : 602.62 = 364.88 : x
  2. Step 2: Convert to fraction form
    403.46/602.62 = 364.88/x
  3. Step 3: Cross multiply
    403.46x = 602.62 × 364.88
  4. Step 4: Simplify right side
    403.46x = 219,883.99
  5. Step 5: Solve for x
    x = 219,883.99/403.46
  6. Step 6: Final answer
    x = 545.00

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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.