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Finding the Fourth Proportional to 423.07, 631.65 and 365.23

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Solution

The fourth proportional to 423.07, 631.65 and 365.23 is: 545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.07 : 631.65 = 365.23 : x
  2. Step 2: Convert to fraction form
    423.07/631.65 = 365.23/x
  3. Step 3: Cross multiply
    423.07x = 631.65 × 365.23
  4. Step 4: Simplify right side
    423.07x = 230,697.53
  5. Step 5: Solve for x
    x = 230,697.53/423.07
  6. Step 6: Final answer
    x = 545.29

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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.