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Finding the Fourth Proportional to 403.29, 602.19 and 395.10

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Solution

The fourth proportional to 403.29, 602.19 and 395.10 is: 589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.29 : 602.19 = 395.10 : x
  2. Step 2: Convert to fraction form
    403.29/602.19 = 395.10/x
  3. Step 3: Cross multiply
    403.29x = 602.19 × 395.10
  4. Step 4: Simplify right side
    403.29x = 237,925.27
  5. Step 5: Solve for x
    x = 237,925.27/403.29
  6. Step 6: Final answer
    x = 589.96

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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.