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Finding the Fourth Proportional to 419.61, 577.85 and 360.12

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Solution

The fourth proportional to 419.61, 577.85 and 360.12 is: 495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.61 : 577.85 = 360.12 : x
  2. Step 2: Convert to fraction form
    419.61/577.85 = 360.12/x
  3. Step 3: Cross multiply
    419.61x = 577.85 × 360.12
  4. Step 4: Simplify right side
    419.61x = 208,096.24
  5. Step 5: Solve for x
    x = 208,096.24/419.61
  6. Step 6: Final answer
    x = 495.93

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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.