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Finding the Fourth Proportional to 419.76, 579.99 and 346.02

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Solution

The fourth proportional to 419.76, 579.99 and 346.02 is: 478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 579.99 = 346.02 : x
  2. Step 2: Convert to fraction form
    419.76/579.99 = 346.02/x
  3. Step 3: Cross multiply
    419.76x = 579.99 × 346.02
  4. Step 4: Simplify right side
    419.76x = 200,688.14
  5. Step 5: Solve for x
    x = 200,688.14/419.76
  6. Step 6: Final answer
    x = 478.10

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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.