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Finding the Fourth Proportional to 546.02, 753.47 and 309.98

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Solution

The fourth proportional to 546.02, 753.47 and 309.98 is: 427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.02 : 753.47 = 309.98 : x
  2. Step 2: Convert to fraction form
    546.02/753.47 = 309.98/x
  3. Step 3: Cross multiply
    546.02x = 753.47 × 309.98
  4. Step 4: Simplify right side
    546.02x = 233,557.64
  5. Step 5: Solve for x
    x = 233,557.64/546.02
  6. Step 6: Final answer
    x = 427.75

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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.