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Finding the Fourth Proportional to 419.80, 578.10 and 303.16

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Solution

The fourth proportional to 419.80, 578.10 and 303.16 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.80 : 578.10 = 303.16 : x
  2. Step 2: Convert to fraction form
    419.80/578.10 = 303.16/x
  3. Step 3: Cross multiply
    419.80x = 578.10 × 303.16
  4. Step 4: Simplify right side
    419.80x = 175,256.80
  5. Step 5: Solve for x
    x = 175,256.80/419.80
  6. Step 6: Final answer
    x = 417.48

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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.