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Finding the Fourth Proportional to 428.47, 590.95 and 277.01

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Solution

The fourth proportional to 428.47, 590.95 and 277.01 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.47 : 590.95 = 277.01 : x
  2. Step 2: Convert to fraction form
    428.47/590.95 = 277.01/x
  3. Step 3: Cross multiply
    428.47x = 590.95 × 277.01
  4. Step 4: Simplify right side
    428.47x = 163,699.06
  5. Step 5: Solve for x
    x = 163,699.06/428.47
  6. Step 6: Final answer
    x = 382.05

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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.