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Finding the Fourth Proportional to 420.29, 579.48 and 345.34

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Solution

The fourth proportional to 420.29, 579.48 and 345.34 is: 476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.29 : 579.48 = 345.34 : x
  2. Step 2: Convert to fraction form
    420.29/579.48 = 345.34/x
  3. Step 3: Cross multiply
    420.29x = 579.48 × 345.34
  4. Step 4: Simplify right side
    420.29x = 200,116.39
  5. Step 5: Solve for x
    x = 200,116.39/420.29
  6. Step 6: Final answer
    x = 476.14

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1.5x scale

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.