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Finding the Fourth Proportional to 459.51, 689.37 and 151.35

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Solution

The fourth proportional to 459.51, 689.37 and 151.35 is: 227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.51 : 689.37 = 151.35 : x
  2. Step 2: Convert to fraction form
    459.51/689.37 = 151.35/x
  3. Step 3: Cross multiply
    459.51x = 689.37 × 151.35
  4. Step 4: Simplify right side
    459.51x = 104,337.30
  5. Step 5: Solve for x
    x = 104,337.30/459.51
  6. Step 6: Final answer
    x = 227.06

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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.