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Finding the Fourth Proportional to 420.32, 579.70 and 345.98

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Solution

The fourth proportional to 420.32, 579.70 and 345.98 is: 477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.32 : 579.70 = 345.98 : x
  2. Step 2: Convert to fraction form
    420.32/579.70 = 345.98/x
  3. Step 3: Cross multiply
    420.32x = 579.70 × 345.98
  4. Step 4: Simplify right side
    420.32x = 200,564.61
  5. Step 5: Solve for x
    x = 200,564.61/420.32
  6. Step 6: Final answer
    x = 477.17

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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.