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Finding the Fourth Proportional to 306.16, 456.53 and 285.64

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Solution

The fourth proportional to 306.16, 456.53 and 285.64 is: 425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 456.53 = 285.64 : x
  2. Step 2: Convert to fraction form
    306.16/456.53 = 285.64/x
  3. Step 3: Cross multiply
    306.16x = 456.53 × 285.64
  4. Step 4: Simplify right side
    306.16x = 130,403.23
  5. Step 5: Solve for x
    x = 130,403.23/306.16
  6. Step 6: Final answer
    x = 425.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.