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Finding the Fourth Proportional to 307.52, 463.08 and 259.19

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Solution

The fourth proportional to 307.52, 463.08 and 259.19 is: 390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 463.08 = 259.19 : x
  2. Step 2: Convert to fraction form
    307.52/463.08 = 259.19/x
  3. Step 3: Cross multiply
    307.52x = 463.08 × 259.19
  4. Step 4: Simplify right side
    307.52x = 120,024.41
  5. Step 5: Solve for x
    x = 120,024.41/307.52
  6. Step 6: Final answer
    x = 390.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.