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Finding the Fourth Proportional to 419.40, 579.54 and 302.76

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Solution

The fourth proportional to 419.40, 579.54 and 302.76 is: 418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.40 : 579.54 = 302.76 : x
  2. Step 2: Convert to fraction form
    419.40/579.54 = 302.76/x
  3. Step 3: Cross multiply
    419.40x = 579.54 × 302.76
  4. Step 4: Simplify right side
    419.40x = 175,461.53
  5. Step 5: Solve for x
    x = 175,461.53/419.40
  6. Step 6: Final answer
    x = 418.36

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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.