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Finding the Fourth Proportional to 510.05, 703.80 and 300.27

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Solution

The fourth proportional to 510.05, 703.80 and 300.27 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.05 : 703.80 = 300.27 : x
  2. Step 2: Convert to fraction form
    510.05/703.80 = 300.27/x
  3. Step 3: Cross multiply
    510.05x = 703.80 × 300.27
  4. Step 4: Simplify right side
    510.05x = 211,330.03
  5. Step 5: Solve for x
    x = 211,330.03/510.05
  6. Step 6: Final answer
    x = 414.34

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1.5x scale

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.