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Finding the Fourth Proportional to 355.39, 530.89 and 257.05

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Solution

The fourth proportional to 355.39, 530.89 and 257.05 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.39 : 530.89 = 257.05 : x
  2. Step 2: Convert to fraction form
    355.39/530.89 = 257.05/x
  3. Step 3: Cross multiply
    355.39x = 530.89 × 257.05
  4. Step 4: Simplify right side
    355.39x = 136,463.76
  5. Step 5: Solve for x
    x = 136,463.76/355.39
  6. Step 6: Final answer
    x = 383.99

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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.