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Finding the Fourth Proportional to 305.64, 455.84 and 257.16

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Solution

The fourth proportional to 305.64, 455.84 and 257.16 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 455.84 = 257.16 : x
  2. Step 2: Convert to fraction form
    305.64/455.84 = 257.16/x
  3. Step 3: Cross multiply
    305.64x = 455.84 × 257.16
  4. Step 4: Simplify right side
    305.64x = 117,223.81
  5. Step 5: Solve for x
    x = 117,223.81/305.64
  6. Step 6: Final answer
    x = 383.54

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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.