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Finding the Fourth Proportional to 419.58, 577.51 and 295.02

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Solution

The fourth proportional to 419.58, 577.51 and 295.02 is: 406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.58 : 577.51 = 295.02 : x
  2. Step 2: Convert to fraction form
    419.58/577.51 = 295.02/x
  3. Step 3: Cross multiply
    419.58x = 577.51 × 295.02
  4. Step 4: Simplify right side
    419.58x = 170,376.26
  5. Step 5: Solve for x
    x = 170,376.26/419.58
  6. Step 6: Final answer
    x = 406.06

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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.