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Finding the Fourth Proportional to 505.14, 697.24 and 295.36

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Solution

The fourth proportional to 505.14, 697.24 and 295.36 is: 407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.14 : 697.24 = 295.36 : x
  2. Step 2: Convert to fraction form
    505.14/697.24 = 295.36/x
  3. Step 3: Cross multiply
    505.14x = 697.24 × 295.36
  4. Step 4: Simplify right side
    505.14x = 205,936.81
  5. Step 5: Solve for x
    x = 205,936.81/505.14
  6. Step 6: Final answer
    x = 407.68

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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.