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Finding the Fourth Proportional to 405.01, 559.07 and 307.47

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Solution

The fourth proportional to 405.01, 559.07 and 307.47 is: 424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.01 : 559.07 = 307.47 : x
  2. Step 2: Convert to fraction form
    405.01/559.07 = 307.47/x
  3. Step 3: Cross multiply
    405.01x = 559.07 × 307.47
  4. Step 4: Simplify right side
    405.01x = 171,897.25
  5. Step 5: Solve for x
    x = 171,897.25/405.01
  6. Step 6: Final answer
    x = 424.43

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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.