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Finding the Fourth Proportional to 305.29, 455.84 and 259.59

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Solution

The fourth proportional to 305.29, 455.84 and 259.59 is: 387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.29 : 455.84 = 259.59 : x
  2. Step 2: Convert to fraction form
    305.29/455.84 = 259.59/x
  3. Step 3: Cross multiply
    305.29x = 455.84 × 259.59
  4. Step 4: Simplify right side
    305.29x = 118,331.51
  5. Step 5: Solve for x
    x = 118,331.51/305.29
  6. Step 6: Final answer
    x = 387.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.