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Finding the Fourth Proportional to 420.30, 579.59 and 302.07

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Solution

The fourth proportional to 420.30, 579.59 and 302.07 is: 416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.30 : 579.59 = 302.07 : x
  2. Step 2: Convert to fraction form
    420.30/579.59 = 302.07/x
  3. Step 3: Cross multiply
    420.30x = 579.59 × 302.07
  4. Step 4: Simplify right side
    420.30x = 175,076.75
  5. Step 5: Solve for x
    x = 175,076.75/420.30
  6. Step 6: Final answer
    x = 416.55

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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.