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Finding the Fourth Proportional to 420.65, 579.14 and 365.36

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Solution

The fourth proportional to 420.65, 579.14 and 365.36 is: 503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.65 : 579.14 = 365.36 : x
  2. Step 2: Convert to fraction form
    420.65/579.14 = 365.36/x
  3. Step 3: Cross multiply
    420.65x = 579.14 × 365.36
  4. Step 4: Simplify right side
    420.65x = 211,589.87
  5. Step 5: Solve for x
    x = 211,589.87/420.65
  6. Step 6: Final answer
    x = 503.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.