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Finding the Fourth Proportional to 473.02, 710.14 and 256.75

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Solution

The fourth proportional to 473.02, 710.14 and 256.75 is: 385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.02 : 710.14 = 256.75 : x
  2. Step 2: Convert to fraction form
    473.02/710.14 = 256.75/x
  3. Step 3: Cross multiply
    473.02x = 710.14 × 256.75
  4. Step 4: Simplify right side
    473.02x = 182,328.45
  5. Step 5: Solve for x
    x = 182,328.45/473.02
  6. Step 6: Final answer
    x = 385.46

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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.