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Finding the Fourth Proportional to 419.23, 578.18 and 360.77

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Solution

The fourth proportional to 419.23, 578.18 and 360.77 is: 497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.23 : 578.18 = 360.77 : x
  2. Step 2: Convert to fraction form
    419.23/578.18 = 360.77/x
  3. Step 3: Cross multiply
    419.23x = 578.18 × 360.77
  4. Step 4: Simplify right side
    419.23x = 208,590.00
  5. Step 5: Solve for x
    x = 208,590.00/419.23
  6. Step 6: Final answer
    x = 497.56

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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.