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Finding the Fourth Proportional to 295.64, 407.64 and 261.08

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Solution

The fourth proportional to 295.64, 407.64 and 261.08 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.64 : 407.64 = 261.08 : x
  2. Step 2: Convert to fraction form
    295.64/407.64 = 261.08/x
  3. Step 3: Cross multiply
    295.64x = 407.64 × 261.08
  4. Step 4: Simplify right side
    295.64x = 106,426.65
  5. Step 5: Solve for x
    x = 106,426.65/295.64
  6. Step 6: Final answer
    x = 359.99

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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.