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Finding the Fourth Proportional to 303.16, 455.34 and 259.81

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Solution

The fourth proportional to 303.16, 455.34 and 259.81 is: 390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.16 : 455.34 = 259.81 : x
  2. Step 2: Convert to fraction form
    303.16/455.34 = 259.81/x
  3. Step 3: Cross multiply
    303.16x = 455.34 × 259.81
  4. Step 4: Simplify right side
    303.16x = 118,301.89
  5. Step 5: Solve for x
    x = 118,301.89/303.16
  6. Step 6: Final answer
    x = 390.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.