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Finding the Fourth Proportional to 307.48, 461.05 and 102.00

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Solution

The fourth proportional to 307.48, 461.05 and 102.00 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.48 : 461.05 = 102.00 : x
  2. Step 2: Convert to fraction form
    307.48/461.05 = 102.00/x
  3. Step 3: Cross multiply
    307.48x = 461.05 × 102.00
  4. Step 4: Simplify right side
    307.48x = 47,024.79
  5. Step 5: Solve for x
    x = 47,024.79/307.48
  6. Step 6: Final answer
    x = 152.93

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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.